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3748149552 = 2437223193359
BaseRepresentation
bin1101111101101000…
…0011100100110000
3100200012210201120210
43133122003210300
530134011241202
61415531504120
7161611513500
oct33732034460
910605721523
103748149552
111653807264
128872b8040
134796b1994
14277b15a00
1516e0c7c6c
hexdf683930

3748149552 has 240 divisors, whose sum is σ = 11847098880. Its totient is φ = 1016193024.

The previous prime is 3748149539. The next prime is 3748149563. The reversal of 3748149552 is 2559418473.

3748149552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1209600) is a multiple of the sum of its prime factors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10440349 + ... + 10440707.

It is an arithmetic number, because the mean of its divisors is an integer number (49362912).

Almost surely, 23748149552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3748149552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923549440).

3748149552 is an abundant number, since it is smaller than the sum of its proper divisors (8098949328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3748149552 is a wasteful number, since it uses less digits than its factorization.

3748149552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 3748149552 is about 61222.1328605922. The cubic root of 3748149552 is about 1553.3606655021.

The spelling of 3748149552 in words is "three billion, seven hundred forty-eight million, one hundred forty-nine thousand, five hundred fifty-two".